Porosity in the context of hypergroups
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DOI:
https://doi.org/10.32523/2077-9879-2024-15-1-75-90Keywords:
locally compact hypergroup, center of hypergroups, porosity, σ-lower porosity, spaceability, Lebesgue spaces, Hilbert spaces, convolutionAbstract
In this paper we show that the set of all elements 
for which 
for a center element 
, is 
-c-lower porous, where 
is a non-compact unimodular hypergroup and B is some special symmetric compact neighborhood of the identity element. As an application, we give some new equivalent condition for the finiteness of a discrete Hermitian hypergroup. Moreover, we give some sufficient conditions for the set of all pairs 
in 
for which for a center element 
, is a -c-lower porous, where 
with 
. Also, we show that the complement of this set is spaceable in 
.
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Published
2024-03-30
How to Cite
Tabatabaie, S. M., Salec, A. R. B., & Allami, H. R. J. (2024). Porosity in the context of hypergroups. Eurasian Mathematical Journal, 15(1), 75–90. https://doi.org/10.32523/2077-9879-2024-15-1-75-90
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